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%I #11 Aug 30 2020 13:26:11
%S 1,24,315,2080,8925,29016,77959,182400,384345,746200,1356531,2336544,
%T 3847285,6097560,9352575,13943296,20276529,28845720,40242475,55168800,
%U 74450061,99048664,130078455,168819840,216735625,275487576,346953699,433246240,536730405,660043800
%N q-factorial numbers 4!_q.
%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).
%F a(n) = (n + 1)*(n^2 + n + 1)*(n^3 + n^2 + n + 1).
%F G.f.: (1 + 17*x + 8*x^2*(21 + 43*x) + 5*x^4*(35 + 3*x))/(1 - x)^7. - _Arkadiusz Wesolowski_, Nov 01 2012
%t Table[QFactorial[4, n], {n, 0, 29}] (* _Arkadiusz Wesolowski_, Nov 01 2012 *)
%t LinearRecurrence[{7,-21,35,-35,21,-7,1},{1,24,315,2080,8925,29016,77959},30] (* _Harvey P. Dale_, Aug 30 2020 *)
%Y Cf. A069777-A069778, A218503.
%K easy,nonn
%O 0,2
%A _Franklin T. Adams-Watters_, Apr 07 2002
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